Details

sample47.0ms

Algorithm

intervals

Results

19.0ms	93×	body	1280	valid
5.0ms	37×	body	640	valid
5.0ms	171×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid

simplify618.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(exp (* a x))
3.0b	(- (exp (* a x)) 1.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

8.0ms	(exp (* a x))
26.0ms	(- (exp (* a x)) 1.0)

series102.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(exp (* a x))
76.0ms	(- (exp (* a x)) 1.0)

simplify745.0ms

Counts: 30 → 30

prune116.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 7.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (* a x))
0.1b	(exp (* a x))
0.1b	(exp (* a x))
3.0b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`difference-of-squares`
14×	`*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod` `add-log-exp`
8×	`sqr-pow`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 64

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
60.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series437.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(exp (* a x))
19.0ms	(exp (* a x))
16.0ms	(exp (* a x))
385.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify1.8s

Counts: 76 → 76

prune293.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.9b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3)))
3.0b	(- (pow (exp (* a x)) 3) (pow 1.0 3))
3.0b	(- (pow (exp (* a x)) 3) (pow 1.0 3))
3.0b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
64×	`difference-of-squares`
48×	`unpow-prod-down` `cube-prod`
45×	`*-un-lft-identity`
32×	`sqr-pow`
25×	`cbrt-prod`
20×	`distribute-lft-out--`
10×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`pow1` `difference-cubes` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 137

Calls

4 calls:

33.0ms	(cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3)))
64.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
48.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
63.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series429.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3)))
72.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
85.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
75.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify2.4s

Counts: 149 → 149

prune787.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.8b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (* a x))
0.2b	(sqrt (pow (exp (* a x)) 3))
0.2b	(sqrt (pow (exp (* a x)) 3))
3.0b	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 (/ 3 2)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`sqrt-prod`
16×	`unpow-prod-down`
15×	`difference-of-squares`
12×	`*-un-lft-identity` `sqr-pow`
11×	`cube-prod`
10×	`add-cube-cbrt`
8×	`rem-sqrt-square` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

9.0ms	(exp (* a x))
17.0ms	(sqrt (pow (exp (* a x)) 3))
7.0ms	(sqrt (pow (exp (* a x)) 3))
74.0ms	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 (/ 3 2)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp (* a x))
53.0ms	(sqrt (pow (exp (* a x)) 3))
76.0ms	(sqrt (pow (exp (* a x)) 3))
188.0ms	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 (/ 3 2)))

simplify1.4s

Counts: 100 → 100

prune452.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.8b

regimes421.0ms

Accuracy

95.4% (1.0b remaining)

Error of 9.1b against oracle of 8.1b and baseline of 29.7b

bsearch2.0ms

simplify2.0s

end0.0ms

sample1.9s

Algorithm

intervals

Results

776.0ms	2729×	body	1280	valid
322.0ms	5424×	body	80	valid
299.0ms	1347×	body	640	valid
83.0ms	725×	body	320	valid
29.0ms	378×	body	160	valid